The extensive research done on interlayer exchange coupling in transition m
etal multilayers has resulted in a deep understanding of this coupling and
a remarkable agreement between theoretical results and measurements. The co
upling between two magnetic layers separated by a non-magnetic spacer layer
is mediated by the electrons of the spacer layer. The coupling, which osci
llates in sign as a function of the thickness of the spacer layer, is close
ly related to the well-known RKKY interaction between magnetic impurities.
Due to the existence of many high-quality measurements, it has been much mo
re fully developed theoretically than the interaction between impurities. T
heory predicts that the periods of the oscillatory coupling should depend o
n critical spanning vectors of the Fermi surface belonging to the spacer-la
yer material There is remarkable agreement far the measured periods and tho
se predicted from the Fermi surfaces. There is also substantial agreement b
etween theory and experiment on the strength of the coupling. This review p
resents the comparison between theory and experiment in some detail. (C) 19
99 Published by Elsevier Science B.V. All rights reserved.